Answer:
The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Step-by-step explanation:
We need to give exponential function to the given constraints.
since f(x) is a decreasing function so
f(x) =
where
a = Initial value
r = rate at which function is decreasing
as we are given the values of a and r such as a = 800 and r = 12%
upon substituting these values in the equation we get
f(x) =
=
similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x) is an increasing function.
g(x) =
where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.
g(x) = =
Now,
we need to find the value of x for which f(x) and g(x) will be equal.
so
x will be approximately 4.1466
Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.
Answer:
x = -9, 9.
Step-by-step explanation:
x^2 - 81 = 0
x^2 = 81
x = -9, 9.
Answer:
Step-by-step explanation:
Let the fund raised in dollars be represented by R.
Let the number of lawns aerated during the day be represented by l.
The team has decided to charge $35/lawn for city-sized lots. This means that for l lawns, the fund raised would be
R = 35l
Since they were able to aerate 26 lawns in one day and the rental cost for two aerating machines is $215, then the amount if money that they were able to raise is
(35 × 26) - 215
= 910 - 215 = $695
The amount of money that the team will lose if they were unable to aerate due to weather conditions is the rental cost for two aerating machines which is $215
The only way they could avoid this loss is by taking note of the weather before renting the machine.
Answer:
what the heck is this
Step-by-step explanation: